Download - チャームハドロンの 面白さとは何か?
チャームハドロンの面白さとは何か?
安井 繁宏(KEK)
ミニ滞在型研究検討会「チャームバリオンの構造と生成」 @10-13 Sep. 2013
So, what’s interesting in charm hadrons?
Contents
1. Introduction to charm (bottom) hadrons2. Mass spectrum of baryons with a heavy quark 4. Anti-D (B) meson in nuclear medium - Heavy meson effective theory with 1/M corretions
5. Summary & perspectives
Contents
1. Introduction to charm (bottom) hadrons2. Mass spectrum of baryons with a heavy quark 4. Anti-D (B) meson in nuclear medium - Heavy meson effective theory with 1/M corretions
5. Summary & perspectives
Conclusion
Probe spin dynamics by charm hadrons!Then, we can approach gluon dynamics !!!
1. IntroductionWhat is interesting in hadron physics?
Non-perturbative physics of QCD- Spontaneous breaking of chrial symmetry- Confinement of color- Anomaly (chiral anomaly, scale anomaly, ...)- ...
T
ρColor Superconductivity
Confinement Deconfinement
2x1012 K
NuclearMatter
Gas
ClusterStrangeMatter
Neutron Stars
Early UniverseHeavy Ion Collisions
Quark-Gluon Plasma
1. IntroductionWhat is interesting in hadron physics?
Charm (bottom) baryons with a single heavy quark
Quark Model
1. IntroductionWhat is interesting in hadron physics?
Charm (bottom) baryons with a single heavy quark
Quark Model Heavy Quark Effective Theory(QCD)
Heavy quark spin+ Total angular momentum of light quarks and gluons
1. IntroductionWhat is interesting in hadron physics?
Charm (bottom) baryons with a single heavy quark
Quark Model Heavy Quark Effective Theory(QCD)
Heavy quark spin+ Total angular momentum of light quarks and gluons
“Brown Muck”
2. Mass spectrum of baryons with a heavy quark
Heavy quark effective theory (HQET)
2. Mass spectrum of baryons with a heavy quarkHeavy quark effective theory (HQET)
Effective heavy quark field (four-velocity v)
Covariant derivative
Tensor field of gluon(chromoelectric G0i, chromomagnetic Gij)
Qv
Light quarks & gluons
HQET
1/mQ expansion
2. Mass spectrum of baryons with a heavy quarkHeavy quark effective theory (HQET)
Mass of heavy meson H containing a heavy quark Q (in vacuum)
LO
NLO O(1/mQ)
HQS conserved
HQS broken
HQS = Heavy quark symmetry, HQFS=Heavy quark flavor symmetry, HQSS=Heavy quark spin symmetry
rest frame
HQFS conservedHQSS conserved
HQFS brokenHQSS conserved
HQFS brokenHQSS broken
Qv
Light quarks & gluons
HQET
1/mQ expansion
Matrix elementsD-D* (B-B*) mass approximate degeneracy
2. Mass spectrum of baryons with a heavy quarkHeavy quark effective theory (HQET)
Mass of heavy meson H containing a heavy quark Q (in vacuum)
LO
NLO O(1/mQ)
HQS conserved
HQS broken
HQS = Heavy quark symmetry
rest frame
Bigi, Shifman, Uraltsev, Vainshtein,PRD52, 196 (1995)
Neubert, PLB322, 419 (1994)“the virial theorem”
Qv
Light quarks & gluons
HQET
1/mQ expansion
Matrix elementsD-D* (B-B*) mass approximate degeneracy
scale anomaly
chromoelectric gluon
chromomagnetic gluon
2. Mass spectrum of baryons with a heavy quarkHeavy quark limit (HQL) mQ→∞
Spin decoupling:
Heavy quark
spin
Total angular momentumof light quarks and gluons
SY, Sudoh, Yamaguchi, Ohkoda,Hosaka, Hyodo, arXv:1304.5293
Heavy Quark Symmetry (HQS)
2. Mass spectrum of baryons with a heavy quarkHeavy quark limit (HQL) mQ→∞
Spin decoupling:
Heavy quark
spin
Total angular momentumof light quarks and gluons
= +Normal heavy hadron Heavy quark Brown muck
Heavy Quark Symmetry (HQS)
SY, Sudoh, Yamaguchi, Ohkoda,Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quarkHeavy quark limit (HQL) mQ→∞
Spin decoupling:
Heavy quark
spin
Total angular momentumof light quarks and gluons
= +Multiquark heavy hadron Heavy quark Brown muck
Heavy Quark Symmetry (HQS)
SY, Sudoh, Yamaguchi, Ohkoda,Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quarkHeavy quark limit (HQL) mQ→∞
Spin decoupling:
Heavy quark
spin
Total angular momentumof light quarks and gluons
= +Multiquark heavy hadron Heavy quark Brown muck
Heavy Quark Symmetry (HQS)
New!
SY, Sudoh, Yamaguchi, Ohkoda,Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quarkHeavy quark limit (HQL) mQ→∞
Spin decoupling:
Heavy quark
spin
Total angular momentumof light quarks and gluons
= +Hadronic molecular
heavy hadronHeavy quark “Light Spin-Complex”
A complex of light quarks and gluons and light hadrons
Heavy Quark Symmetry (HQS)
SY, Sudoh, Yamaguchi, Ohkoda,Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quarkHeavy quark limit (HQL) mQ→∞
Spin decoupling:
Heavy quark
spin
Total angular momentumof light quarks and gluons
= +Hadronic molecular
heavy hadronHeavy quark “Light Spin-Complex”
A complex of light quarks and gluons and light hadrons
Heavy Quark Symmetry (HQS)
New!!!
SY, Sudoh, Yamaguchi, Ohkoda,Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quarkHeavy quark limit (HQL) mQ→∞
Spin decoupling:
Heavy quark
spin
Total angular momentumof light quarks and gluons
= +Hadronic molecular
heavy hadronHeavy quark “Light Spin-Complex”
A complex of light quarks and gluons and light hadrons
Heavy Quark Symmetry (HQS)
New!!!
SY, Sudoh, Yamaguchi, Ohkoda,Hosaka, Hyodo, arXv:1304.5293
Heavy hadron in nuclear medium→ Light Spin-Complex = “quark” + nucleon + hole!
2. Mass spectrum of baryons with a heavy quarkHeavy quark limit (HQL) mQ→∞
Spin decoupling:
Heavy quark
spin
Total angular momentumof light quarks and gluons
Ener
gy
mQ → ∞mQ : finiteJ=1/2
J=j-1/2, j+1/2J=j+1/2
J=j-1/2
J=1/2
(j≠0)1/mQ
Heavy Quark Symmetry (HQS)
SY, Sudoh, Yamaguchi, Ohkoda,Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quarkHeavy quark limit (HQL) mQ→∞
Spin decoupling:
Heavy quark
spin
Total angular momentumof light quarks and gluons
Ener
gy
mQ → ∞mQ : finiteJ=1/2
J=j-1/2, j+1/2J=j+1/2
J=j-1/2
J=1/2
(j≠0)1/mQ
HQS Singlet (j=0)
Heavy Quark Symmetry (HQS)
SY, Sudoh, Yamaguchi, Ohkoda,Hosaka, Hyodo, arXv:1304.5293
?
2. Mass spectrum of baryons with a heavy quarkHeavy quark limit (HQL) mQ→∞
Spin decoupling:
Heavy quark
spin
Total angular momentumof light quarks and gluons
Ener
gy
mQ → ∞mQ : finite
J=j-1/2, j+1/2J=j+1/2
J=j-1/2 (j≠0)1/mQ
J=1/2J=1/2
HQS Doublet (j≠0)
Heavy Quark Symmetry (HQS)
SY, Sudoh, Yamaguchi, Ohkoda,Hosaka, Hyodo, arXv:1304.5293
?
2. Mass spectrum of baryons with a heavy quark
Examples1. Non-exotic baryons2. Exotic baryons3. Heavy meson in nuclear matter
SY, Sudoh, Yamaguchi, Ohkoda,Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
Quark ModelRoberts and Pervin, Int. J. Mod. Phys. 23, 2817 (2008)
1. Non-exotic baryons (charm baryons) 野海・安井 “ J-PARC 高運動量ビームラインで拓く新しいハドロン・原子核物理” 原子核研究
2. Mass spectrum of baryons with a heavy quark
Quark ModelRoberts and Pervin, Int. J. Mod. Phys. 23, 2817 (2008)
1. Non-exotic baryons (charm baryons) 野海・安井 “ J-PARC 高運動量ビームラインで拓く新しいハドロン・原子核物理” 原子核研究
HQS Singlet
2. Mass spectrum of baryons with a heavy quark
PDG2012 Quark ModelRoberts and Pervin, Int. J. Mod. Phys. 23, 2817 (2008)
1. Non-exotic baryons (charm baryons) 野海・安井 “ J-PARC 高運動量ビームラインで拓く新しいハドロン・原子核物理” 原子核研究
HQS Singlet
2. Mass spectrum of baryons with a heavy quark
PDG2012 Quark ModelRoberts and Pervin, Int. J. Mod. Phys. 23, 2817 (2008)
1. Non-exotic baryons (charm baryons) 野海・安井 “ J-PARC 高運動量ビームラインで拓く新しいハドロン・原子核物理” 原子核研究
多数の未知の状態 !!
HQS Singlet
2. Mass spectrum of baryons with a heavy quark2. Exotic baryons (P(*)N molecule state; JP=1/2-, 3/2-) P(*)=(Qq)spin 0 (1)
N
P(*)
π
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark2. Exotic baryons (P(*)N molecule state; JP=1/2-, 3/2-) P(*)=(Qq)spin 0 (1)
N
P(*)
π
Unitary transformation
Unitary transformation
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark2. Exotic baryons (P(*)N molecule state; JP=1/2-, 3/2-) P(*)=(Qq)spin 0 (1)
N
P(*)
π
Unitary transformation
Unitary transformation
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark2. Exotic baryons (P(*)N molecule state; JP=1/2-, 3/2-) P(*)=(Qq)spin 0 (1)
N
P(*)
π
Unitary transformation
Unitary transformation
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark2. Exotic baryons (P(*)N molecule state; JP=1/2-, 3/2-) P(*)=(Qq)spin 0 (1)
N
P(*)
π
Unitary transformation
Unitary transformation
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark2. Exotic baryons (P(*)N molecule state; JP=1/2-, 3/2-) P(*)=(Qq)spin 0 (1)
N
P(*)
π
Unitary transformation
Unitary transformation
P(*)N(1/2-) is degenerate with P(*)N(3/2-).
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark2. Exotic baryons (P(*)N molecule state; JP=1/2-, 3/2-) P(*)=(Qq)spin 0 (1)
N
P(*)
π
Unitary transformation
Unitary transformation
P(*)N(1/2-) is degenerate with P(*)N(3/2-).HQS Doublet
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark2. Exotic baryons (P(*)N molecule state; JP=1/2-, 3/2-) P(*)=(Qq)spin 0 (1)
N
P(*)
π
Unitary transformation
Unitary transformation
P(*)N(1/2-) is degenerate with P(*)N(3/2-).Light Spin-Complex “qN” (1+) is commonly contained.
HQS Doublet
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark3. P(*) meson in nuclear matter P(*)=(Qq)spin 0 (1)
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark3. P(*) meson in nuclear matter P(*)=(Qq)spin 0 (1)
3 2 1Degrees ofdegeneracy =
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark3. P(*) meson in nuclear matter P(*)=(Qq)spin 0 (1)
In-medium mass of P = In medium mass of P*
3 2 1Degrees ofdegeneracy =
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark3. P(*) meson in nuclear matter P(*)=(Qq)spin 0 (1)
In-medium mass of P = In medium mass of P*
3 2 1Degrees ofdegeneracy =
HQS Doublet
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark3. P(*) meson in nuclear matter P(*)=(Qq)spin 0 (1)
In-medium mass of P = In medium mass of P*HQS Doublet
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark3. P(*) meson in nuclear matter P(*)=(Qq)spin 0 (1)
Light Spin-Complex “qNN-1” (1/2+) is commonly contained.
In-medium mass of P = In medium mass of P*HQS Doublet
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
T
ρColor Superconductivity
Confinement Deconfinement
2x1012 K
NuclearMatter
Gas
ClusterStrangeMatter
Neutron Stars
Early UniverseHeavy Ion Collisions
Quark-Gluon Plasma
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
T
ρColor Superconductivity
Confinement Deconfinement
2x1012 K
NuclearMatter
Gas
ClusterStrangeMatter
Neutron Stars
Early UniverseHeavy Ion Collisions
Quark-Gluon Plasma
Colored Object ?in quarkyoic phase,color superconductivity, ...
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
T
ρColor Superconductivity
Confinement Deconfinement
2x1012 K
NuclearMatter
Gas
ClusterStrangeMatter
Neutron Stars
Early UniverseHeavy Ion Collisions
Quark-Gluon Plasma
Light Spin-Complexin heavy hadron
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
2. Mass spectrum of baryons with a heavy quark
T
ρColor Superconductivity
Confinement Deconfinement
2x1012 K
NuclearMatter
Gas
ClusterStrangeMatter
Neutron Stars
Early UniverseHeavy Ion Collisions
Quark-Gluon Plasma
Light Spin-Complexin heavy hadron
SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293
Connection by charm (bottom) quark?
3. Anti-D (B) meson in nuclear medium
Let us talk more about 1/M expansionfor heavy meson P(*) in nuclear matter!
P(*)=(Qq)spin 0 (1)
SY and Sudoh, arXiv:1308:0098 [hep-ph]
Heavy Quark Effective Theory (HQET)
3. Anti-D (B) meson in nuclear medium
In-medium
3. Anti-D (B) meson in nuclear mediumHeavy quark effective theory (HQET)
Mass of heavy meson H containing a heavy quark Q (in medium at T and ρ)
LO
NLO O(1/mQ)
HQS conserved
HQS broken
HQS = Heavy quark symmetry
rest frame
Qv
Light quarks & gluons
HQET
1/mQ expansion
Matrix elements
scale anomaly
chromoelectric gluon
chromomagnetic gluon
3. Anti-D (B) meson in nuclear mediumHeavy quark effective theory (HQET)
Mass of heavy meson H containing a heavy quark Q (in medium at T and ρ)
LO
NLO O(1/mQ)
HQS conserved
HQS broken
HQS = Heavy quark symmetry
rest frame
Qv
Light quarks & gluons
HQET
1/mQ expansion
Matrix elements
scale anomaly
chromoelectric gluon
chromomagnetic gluon
3. Anti-D (B) meson in nuclear mediumHeavy quark effective theory (HQET)
mQ
vacuum medium
Mass
Λ : O(mQ0) + λ1 : O(1/mQ)
Λ : O(mQ0) + λ1 : O(1/mQ)
λ2 : O(1/mQ)
λ2 : O(1/mQ)
j-1/2
j-1/2
j-1/2
j-1/2
1/mQ expansion
3. Anti-D (B) meson in nuclear mediumHeavy quark effective theory (HQET)
mQ
vacuum medium
Mass
Λ : O(mQ0) + λ1 : O(1/mQ)
Λ : O(mQ0) + λ1 : O(1/mQ)
λ2 : O(1/mQ)
λ2 : O(1/mQ)
j-1/2
j-1/2
j-1/2
j-1/2
Λ , λ1 and λ2 change in medium.
1/mQ expansion
3. Anti-D (B) meson in nuclear mediumHeavy quark effective theory (HQET)
mQ
vacuum medium
Mass
Λ : O(mQ0) + λ1 : O(1/mQ)
Λ : O(mQ0) + λ1 : O(1/mQ)
λ2 : O(1/mQ)
λ2 : O(1/mQ)
j-1/2
j-1/2
j-1/2
j-1/2
Λ , λ1 and λ2 change in medium.
Gluon fields change in medium.
1/mQ expansion
Heavy meson effective theory (HMET)
3. Anti-D (B) meson in nuclear medium
3. Anti-D (B) meson in nuclear medium
HQET HMET 1/mQ expansion(mQ : heavy quark mass)
1/M expansion(M : heavy meson mass)
3. Anti-D (B) meson in nuclear medium
HQET HMET 1/mQ expansion(mQ : heavy quark mass)
1/M expansion(M : heavy meson mass)
3. Anti-D (B) meson in nuclear medium
HQET HMET 1/mQ expansion(mQ : heavy quark mass)
1/M expansion(M : heavy meson mass)
3. Anti-D (B) meson in nuclear medium
HQET HMET 1/mQ expansion(mQ : heavy quark mass)
1/M expansion(M : heavy meson mass)
3. Anti-D (B) meson in nuclear mediumHeavy meson effective theory with 1/M corrections
Heavy-meson effective field and separation of momentum
four-velocity + residual momentum
v
w
Hv(x)
Hw(x)
Luke, Manohar, PLB286, 348 (1992), Kitazawa, Kurimoto, PLB323, 65 (1994)
vector meson pseudoscalar meson Spin degeneracy at LO
1/M correction (NLO) : uncertainty of four-velocity or residual momentum (change of frame with v to frame with w)
P(*)=(Qq)spin 0 (1)
3. Anti-D (B) meson in nuclear mediumHeavy meson effective theory with 1/M corrections
Heavy-meson effective field and separation of momentum
1/M correction (NLO) : uncertainty of four-velocity or residual momentum (change of frame with v to frame with w)
four-velocity + residual momentum
v
w
Hv(x)
Hw(x)
p/M
Luke, Manohar, PLB286, 348 (1992), Kitazawa, Kurimoto, PLB323, 65 (1994)
vector meson pseudoscalar meson Spin degeneracy at LO
P(*)=(Qq)spin 0 (1)
3. Anti-D (B) meson in nuclear mediumHeavy meson effective theory with 1/M corrections
Axial-currents composed by Hv :
3. Anti-D (B) meson in nuclear mediumHeavy meson effective theory with 1/M corrections
Axial-currents composed by Hv :
HQSS conserved (Γ=1, iγ5, γμ) HQSS=Heavy quark spin symmetryO(1/M0) or O(1/M1)
3. Anti-D (B) meson in nuclear mediumHeavy meson effective theory with 1/M corrections
Axial-currents composed by Hv :
HQSS broken (Γ=γμγ5, σμν) smaller than or equal to O(1/M1) HQSS=Heavy quark spin symmetry
3. Anti-D (B) meson in nuclear mediumHeavy meson effective theory with 1/M corrections
Axial-currents composed by Hv :
O(1/M0) or O(1/M1)
HQSS conserved
O(1/M1)
HQSS broken
HQSS=Heavy quark spin symmetry
3. Anti-D (B) meson in nuclear mediumHeavy meson effective theory with 1/M corrections
Effective Lagrangian for HMETKitazawa, Kurimoto, PLB323, 65 (1994)
P-P* mass splitting
Axial-vector currentby pions
H
H pion
axial-current coupling g1, g1/M, g2/M
3. Anti-D (B) meson in nuclear mediumHeavy meson effective theory with 1/M corrections
Effective Lagrangian for HMET --- How to fix couplings g, g1 and g2? ---
LO NLO NLO
Lattice QCD simulations by Detmold, Lin, Meinel, PRD.85, 114508 (2012)
g
g=0.4-0.5
Kitazawa, Kurimoto, PLB323, 65 (1994)
3. Anti-D (B) meson in nuclear mediumHeavy meson effective theory with 1/M corrections
Effective Lagrangian for HMET --- How to fix couplings g, g1 and g2? ---
LO NLO NLO
Decay width of D* → Dπ (PDG2012)
( g, g1/MD, g2/MD ) = (0.5, 0, -0.07) for g=0.5 (Set 1) (0.4, 0, -0.17) for g=0.4 (Set 2)
Constraint on g1 and g2
We assume g1=0 (conclusion is insensitive to g1)
Kitazawa, Kurimoto, PLB323, 65 (1994)
3. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
N N NN-1 N-1 N-1
anti-D meson anti-D* meson
1/M correctionsfrom HMET
Cf. Λ-Σ mixing in nuclear matter
3. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
N N NN-1 N-1 N-1
1/M correctionsfrom HMET
anti-D meson anti-D* meson
Cf. Λ-Σ mixing in nuclear matter
3. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
N N NN-1 N-1 N-1
1/M correctionsfrom HMET
anti-D meson anti-D* meson
Cf. Λ-Σ mixing in nuclear matter
3. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
N N NN-1 N-1 N-1
1/M correctionsfrom HMET
anti-D meson anti-D* meson
Cf. Λ-Σ mixing in nuclear matter
3. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
N N NN-1 N-1 N-1
1/M correctionsfrom HMET
anti-D meson anti-D* meson
Cf. Λ-Σ mixing in nuclear matter
3. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
scale anomaly in QCD
chromomagnetic gluon
chromoelectric gluon
at normal density
3. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
scale anomaly in QCD
chromomagnetic gluon
chromoelectric gluon
in-medium modifications of ... at normal density
@ medium
@ vacuum
3. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
scale anomaly in QCD
chromomagnetic gluon
chromoelectric gluon
in-medium modifications of ... at normal density
@ medium
@ vacuum
3. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
scale anomaly in QCD
chromomagnetic gluon
chromoelectric gluon
in-medium modifications of ... at normal density
@ medium
@ vacuum
3. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
scale anomaly in QCD
chromomagnetic gluon
chromoelectric gluon
in-medium modifications of ...
→ suppressed
→ enhanced
→ suppressed
normal density
( g, g1/MD, g2/MD ) = (0.5, 0, -0.07)
(0.4, 0, -0.17)
normal density
@ medium
@ vacuum
3. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
scale anomaly in QCD
chromomagnetic gluon
chromoelectric gluon
in-medium modifications of ...
→ suppressed
→ enhanced
→ suppressed
Energy contribution from gluonsbecomes small. (Suppression ofquantum effects.)
Kinetic energy becomes large,due to the binding energy.
D-D* (B-B*) splitting become small.(Extended brown muck dressed by nucleon-hole pairs in medium?)
normal density
( g, g1/MD, g2/MD ) = (0.5, 0, -0.07)
(0.4, 0, -0.17)
normal density
@ medium
@ vacuum
3. Anti-D (B) meson in nuclear mediumIn-medium masses of anti-D(*) (B(*)) meson in nuclear matter
scale anomaly in QCD
chromomagnetic gluon
chromoelectric gluon
in-medium modifications of ...
→ suppressed
→ enhanced
→ suppressed
Energy contribution from gluonsbecomes small. (Suppression ofquantum effects.)
Kinetic energy becomes large,due to the binding energy.
D-D* (B-B*) splitting become small.(Extended brown muck dressed by nucleon-hole pairs in medium?)
normal density
( g, g1/MD, g2/MD ) = (0.5, 0, -0.07)
(0.4, 0, -0.17)
normal density
@ medium
@ vacuum
about 0.9 suppression in gluon condensate (Cohen et al. 1992)
4. DiscussionHeavy baryon with a heavy quark
Non-exotic baryons (Qqq)
Exotic baryons (Qqqqq)
SY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011); ibid. 85, 054003 (2012)
4. DiscussionHeavy baryon with a heavy quark
Non-exotic baryons (Qqq)
Exotic baryons (Qqqqq)Chromoelectric gluon → enhanced
SY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011); ibid. 85, 054003 (2012)
4. DiscussionHeavy baryon with a heavy quark
Non-exotic baryons (Qqq)
Exotic baryons (Qqqqq)Chromomagnetic gluon → suppressed
SY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011); ibid. 85, 054003 (2012)
5. Summary & perspectives
We discussed charm baryon mass spectrum.
5. Summary & perspectives
We discussed charm baryon mass spectrum.
Heavy quark symmetry is important for (approximately) degeneratemass levels. - Non-exotic baryons - Exotic baryons (P(*)N) - P(*) meson in nuclear matter
5. Summary & perspectives
We discussed charm baryon mass spectrum.
Heavy quark symmetry is important for (approximately) degeneratemass levels. - Non-exotic baryons - Exotic baryons (P(*)N) - P(*) meson in nuclear matter
By probing of P(*) meson mass in nuclear matter, we find ... (1) Scale anomaly from QCD is suppressed. (2) Chromoelectric gluons are enhanced. (3) Chromomagnetic gluons are suppressed.
5. Summary & perspectives
We discussed charm baryon mass spectrum.
Heavy quark symmetry is important for (approximately) degeneratemass levels. - Non-exotic baryons - Exotic baryons (P(*)N) - P(*) meson in nuclear matter
By probing of P(*) meson mass in nuclear matter, we find ... (1) Scale anomaly from QCD is suppressed. (2) Chromoelectric gluons are enhanced. (3) Chromomagnetic gluons are suppressed.
Experimental studies for charmed nuclei at J-PARC are important.
5. Summary & perspectivesPath between hadron physics and nuclear physics
Interaction between an anti-D(*) (B(*)) meson and a nucleonSY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011)Yamaguchi, Ohkoda, SY, Hosaka, PRD85, 054003 (2012)
Heavy quark (spin) symmetry
π exchange interaction Feshbach resonancesN
D(*)
π
5. Summary & perspectivesPath between hadron physics and nuclear physics
Interaction between an anti-D(*) (B(*)) meson and a nucleon
Anti-D(*) and B(*) mesons in nuclear medium
SY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011)Yamaguchi, Ohkoda, SY, Hosaka, PRD85, 054003 (2012)
SY and Sudoh, PRC87, 105202 (2013)SY and Sudoh, PRC88, 015201 (2013)SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293 [hep-ph]
Heavy quark (spin) symmetry
π exchange interaction
Isospin polarization
Feshbach resonances
Kondo effects
N
D(*)
π
Spin-ComplexSpin degeneracy
5. Summary & perspectivesPath between hadron physics and nuclear physics
Interaction between an anti-D(*) (B(*)) meson and a nucleon
Anti-D(*) and B(*) mesons in nuclear medium
Anti-D(*) (B(*)) meson → Probing gluon dynamics in medium
SY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011)Yamaguchi, Ohkoda, SY, Hosaka, PRD85, 054003 (2012)
SY and Sudoh, PRC87, 105202 (2013)SY and Sudoh, PRC88, 015201 (2013)SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293 [hep-ph]
Heavy quark (spin) symmetry
π exchange interaction
Isospin polarization
Feshbach resonances
Kondo effects
Chromoelectric & chromomagnetic gluons probed by a heavy quark
SY and Sudoh, arXiv:1308:0098 [hep-ph]
N
D(*)
π
Spin-ComplexSpin degeneracy
Qv
gluon
Ea, Ba
5. Summary & perspectivesPath between hadron physics and nuclear physics
Interaction between an anti-D(*) (B(*)) meson and a nucleon
Anti-D(*) and B(*) mesons in nuclear medium
Anti-D(*) (B(*)) meson → Probing gluon dynamics in medium
SY and Sudoh, PRD80, 034008 (2009)Yamaguchi, Ohkoda, SY, Hosaka, PRD84, 014032 (2011)Yamaguchi, Ohkoda, SY, Hosaka, PRD85, 054003 (2012)
SY and Sudoh, PRC87, 105202 (2013)SY and Sudoh, PRC88, 015201 (2013)SY, Sudoh, Yamaguchi, Ohkoda, Hosaka, Hyodo, arXv:1304.5293 [hep-ph]
Heavy quark (spin) symmetry
π exchange interaction
Isospin polarization
Feshbach resonances
Kondo effects
Chromoelectric & chromomagnetic gluons probed by a heavy quark
SY and Sudoh, arXiv:1308:0098 [hep-ph]
Heavy quarks connect QCD and nuclear physics!!
N
D(*)
π
Spin-ComplexSpin degeneracy
Qv
gluon
Ea, Ba
5. Summary & perspectivesGluon dynamics in “single particle state” in atomic nuclei with anti-D(*) (Λc)
B.E.
thr.anti-D12C (Λc
12C)
g.s.
e.s.J-1/2
J+1/2s.p.s. (n2S+1LJ) of anti-D(*) (Λc)
5. Summary & perspectivesGluon dynamics in “single particle state” in atomic nuclei with anti-D(*) (Λc)
B.E.
thr.anti-D12C (Λc
12C)
s.p.s. (n2S+1LJ) of anti-D(*) (Λc)→ Λ(n2S+1LJ), λ1(n2S+1LJ), λ2(n2S+1LJ,mQ)
scale anomaly, chromoelectric gluon, chromomagnetic gluonfor each s.p.s.
Qv
gluon
Ea, Ba
g.s.
e.s.J-1/2
J+1/2
Let’s probe spin dynamics by charm hadrons!
5. Summary & perspectives
B.E.
thr.anti-D12C (Λc
12C)
s.p.s. (n2S+1LJ) of anti-D(*) (Λc)→ Λ(n2S+1LJ), λ1(n2S+1LJ), λ2(n2S+1LJ,mQ)
scale anomaly, chromoelectric gluon, chromomagnetic gluonfor each s.p.s.
Qv
gluon
Ea, Ba
g.s.
e.s.J-1/2
J+1/2
Then, we can approach gluon dynamics !!!
Gluon dynamics in “single particle state” in atomic nuclei with anti-D(*) (Λc)